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Impulsive Synchronization of Lü Chaotic System Based on Small Impulsive Signal
Authors:Zhijun Peng  Yang Li  Xiaofeng Liao  Chuandong Li
Institution:(1) College of Mathematical Science, Chongqing University, Chongqing, 400030, People’s Republic of China;(2) College of Computer Science and Engineering, Chongqing University, Chongqing, 400030, People’s Republic of China
Abstract:In this Letter the issue of impulsive synchronization of the Lü chaotic system is developed. We propose an impulsive synchronization scheme of the Lü chaotic system including chaotic systems. Some new and sufficient conditions on varying impulsive distance are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived in synchronizing the systems by equal impulsive distances. The proposed impulsive synchronization scheme is applied to the Lü chaotic system and the numerical example demonstrates the effectiveness of the method. The boundaries of the stable regions are also estimated.
Keywords:Chaos  Impulsive synchronization  Lü chaotic system
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